You are supposed to come up with an equation to solve this problem. I have figured out how to do it, just not what the equation is supposed to look like. Anyways, here is the word problem.

The taxi fare in Gotham City is $2.40 for the first .5 miles, and additional mileage is charged at the rate of $0.20 for each additional .1 mile. If you were to go 2 miles, how much money would it cost? Write and solve an equation to determine the price. (I was able to figure out that the price was $5.40)

I just can't seem to figure out how to write an equation for this problem. If you are able to, please help give me some insight on how to write the equation. I would really appreciate it!

For x tenths of a mile, the cost

c = 2.40 + 0.20(x-5)
2 miles is 20 tenths, so

c(20) = 2.40 + 0.20(15) = 2.40 + 3.00 = 5.40

Much less hassle than trying to work with x miles.

Sure, I can help you write an equation to solve this problem.

Let's break down the information given in the problem:

1. The initial fare for the first 0.5 miles is $2.40.
2. Additional mileage is charged at a rate of $0.20 per 0.1 mile.

To write an equation, we can define the variables:
Let's use:
- "x" to represent the total distance traveled in miles.

Now, let's express the cost in terms of the distance traveled:
- For the initial 0.5 miles, the cost is $2.40.
- For the additional distance traveled beyond the initial 0.5 miles, the cost is $0.20 per 0.1 mile.

The cost of these additional miles can be represented as:
0.20 * (x - 0.5)

Therefore, the total cost equation can be written as:
Cost = $2.40 + 0.20 * (x - 0.5)

Now, let's solve this equation for x = 2 to find the cost:
Cost = $2.40 + 0.20 * (2 - 0.5)
Cost = $2.40 + 0.20 * 1.5
Cost = $2.40 + $0.30
Cost = $2.70

So, if you were to go 2 miles, the cost would be $2.70, not $5.40 as you mentioned. Double-check your calculations to confirm the correct amount.

Sure! I'd be happy to help you come up with an equation to solve this problem.

To determine the cost of a taxi ride in Gotham City, we need to calculate the cost of the initial 0.5 miles and then add the cost of the additional miles.

Let's break down the problem step by step:

1. First, let's calculate the cost of the initial 0.5 miles. We know that the cost is $2.40. Let's represent this as a constant term in our equation.

2. Next, we need to calculate the cost of the additional miles. We are charged $0.20 for each additional 0.1 mile. Since we are going 2 miles in total, the additional miles would be (2 - 0.5) = 1.5 miles.

3. For every 0.1 mile, we are charged $0.20. So for 1.5 miles, the cost of the additional miles would be (1.5 / 0.1) * $0.20.

Now let's write the equation by adding these two terms:

Cost = Cost of initial 0.5 miles + Cost of additional miles

Cost = $2.40 + (1.5 / 0.1) * $0.20

Simplifying this equation, we get:

Cost = $2.40 + 15 * $0.20

Cost = $2.40 + $3.00

Cost = $5.40

So the cost of the taxi ride for 2 miles in Gotham City would indeed be $5.40.

I hope this explanation helps! Let me know if you have any further questions.